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Finding the Fourth Proportional to 3,109.01, 4,290.53 and 1,782.96

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Solution

The fourth proportional to 3,109.01, 4,290.53 and 1,782.96 is: 2,460.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.01 : 4,290.53 = 1,782.96 : x
  2. Step 2: Convert to fraction form
    3,109.01/4,290.53 = 1,782.96/x
  3. Step 3: Cross multiply
    3,109.01x = 4,290.53 × 1,782.96
  4. Step 4: Simplify right side
    3,109.01x = 7,649,834.45
  5. Step 5: Solve for x
    x = 7,649,834.45/3,109.01
  6. Step 6: Final answer
    x = 2,460.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.